A number increased by 22% of itself is 488
Model the statement in an equation.

Answer:

20 23/24 hours

Step-by-step explanation:

5*(3 1/8)+2*(1 3/5)

5*(25/8) + 2*(8/3)

125/8 + 16/3

375/24 + 128/24

=503/24

=20 23/24

Answer:

length= 6x

width= x

AREA= 135

solution

AREA = length times width

135 = 6x multiplied by x

135=6x^2

x^2 as subject of formula

x^2=135/6

x^2=22.5

square root both sides

x=4.74

width = 4.74

Answer:

9

Step-by-step explanation:

The time taken by Linda to cover 693 miles is 11 hours.

Rate of change is the speed at which the variables changes with respect to time.

In 9 hours Linda drove 567 miles.

Miles travelled in 1 hour is,

\(speed=\frac{distance covered}{timetaken}\)------(1)

         =\(\frac{567}{9}\)

         = 63 miles per hour.

Linda drove 63 miles per hour.

She is travel in the same rate from the beginning.

Let  t be the time taken by her to travel 693 miles is,

By using (1),

\(speed=\frac{distance covered}{timetaken}\)

\(t=\frac{693}{63}\)

⇒t=11 hours.

Hence, the time taken by Linda to cover 693 miles is 11 hours.

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Answer:

About 25.13

Step-by-step explanation:

circumference equation: 2pi(r)

2pi(4) = 25.13

Answer:

\(\boxed {\tt 13.75 \ yards}\)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

\(a^2+b^2=c^2\)

where \(a\) and \(b\) are the legs and \(c\) is the hypotenuse.

One of the legs is 10 yards, and the other is unknown. The hypotenuse is 17 yards, because it is the longest side.

\(a= 10 \ yd\\b=b\\c= 17 \ yd\)

Substitute the values into the formula.

\((10 \ yd)^2+b^2=(17 \ yd)^2\)

Evaluate the exponents.

\(100 \ yd^2+b^2= (17 \ yd)^2\)

\(100 \ yd^2+b^2= 289 \ yd^2\)

Now, solve for b. First, subtract 100 yards squared from both sides of the equation.

\(100 \ yd^2-100 \ yd^2+b^2= 289 \ yd^2- 100 \ yd^2\)

\(b^2=289\ yd^2-100 \ yd^2\)

\(b^2=189 \ yd^2\)

Finally, take the square root of each side of the equation.

\(\sqrt{b^2} =\sqrt{189\ yd^2}\)

\(b=\sqrt{189 \ yd^2}\)

\(b=13.7477271 \ yd\)

Round to the nearest hundredth. The 7 in the thousandth place tells us to round the 4 to a 5.

\(b \approx 13.75 \ yd\)

The other side of the garden is about 13.75 yards long.

As a result, 23.2 x 0.14 equals 3.248.

One of the four fundamental math processes, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual adding of sets of identical size.

To multiply 23.2 and 0.14,

  23.2

x 0.14

---------

  32.48   (0.2 x 0.14 = 0.028, write down 8 and carry over 2)

+ 232.0   (3 x 0.14 = 0.42, add carried over 2 to get 4, write down 0 and carry over 4)

--------

 3.248   (the final answer)

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To determine the probability that neither card shows an even number with replacement, we need to calculate the probability of drawing an odd number on each card and multiply the probabilities together.

Let's assume we have a standard deck of 52 playing cards, where half of them are even numbers (2, 4, 6, 8, 10) and the other half are odd numbers (1, 3, 5, 7, 9).

Since the cards are replaced after each draw, the probability of drawing an odd number on each card is 1/2. Therefore, the probability that neither card shows an even number is:

P(neither card shows an even number) = P(odd on card 1) * P(odd on card 2) = 1/2 * 1/2 = 1/4

So, the probability that neither card shows an even number, with replacement, is 1/4.

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The equation in function notation, are-

A. function notation: f(x) = 15x - 40  ; f(3) = 5

B. function notation :  f(x) = 2/3 x + 20 ; f(x) = 34

A function is frequently written as "f(x)" when it is stated as an equation. A function that involves the variables x and y can be expressed in the form y = "some expression involving x," or y = f. ( x). By reading the last sentence as "y equals f of x," it is indicated that y is really a function of x.

Given functions:

A. y = 15x - 40 ; x = 3 (Input values)

function notation: f(x) = 15x - 40  

x = 3

f(3) = 15(3) - 40  

f(3) = 5

B. y = 2/3 x + 20 ; x = 21

function notation :  f(x) = 2/3 x + 20

x = 21

f(x) = 2/3 *(21) + 20

f(x) = 34

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Correct question:

Write each equation in function notation, then solve for the function given value:

A. y = 15x - 40 ; x = 3

B. y = 2/3 x + 20 ; x = 21

Answer:

False. All triangles must have a total of 180°. 60° + 60° + 70° = 190°.

Answer:

x=11

m<a=80º

m<b=80º

Step-by-step explanation:

They are congruent so

8x-8=5x+25

8x=5x+33

3x=33

x=11

Answer:

Step-by-step explanation:

8x-8=5x+25

8x+5x=25--8

13x=33

x=2.5

x=3cm

Answer:

Given :- ABCD is a square.

To proof :- AC = BD and AC ⊥ BD

Proof :- In △ ADB and △ BCA

AD = BC [ Sides of a square are equal ]

∠BAD = ∠ABC [ 90° each ]

AB = BA [ Common side ]

△ADB ≅ △BCA [ SAS congruency rule ]

⇒ AC = BD [ Corresponding parts of congruent triangles are equal ]

In △AOB and △AOD

OB = OD [ Square is also a parallelogram therefore, diagonal of parallelogram bisect each other ]

AB = AD [ Sides of a square are equal ]

AO = AO [ Common side ]

△AOB ≅ △ AOD [ SSS congruency rule ]

⇒ ∠AOB = ∠AOD [ Corresponding parts of congruent triangles are equal]

∠AOB + ∠AOD = 180° [ Linear pair ]

∠ AOB = ∠AOD = 90°

⇒ AO ⊥ BD

⇒ AC ⊥ BD

Hence proved, AC = BD and AC ⊥BD

Answer:

please see analysis above.

Both the white longhair female cat (w/w; l/l) and the black shorthair male cat (w/w; l/l) are homozygous for the white coat color (w/w) and the longhair trait (l/l).

When these cats mate, all the kittens will inherit one allele for each trait from each parent. Since both parents are homozygous for the white coat color (w/w), all kittens will also inherit the white coat color gene from both parents, resulting in white kittens (w/w). Similarly, both parents are homozygous for the longhair trait (l/l), so all kittens will inherit the longhair allele from both parents, making them longhair kittens (l/l).

In conclusion, all 12 kittens will have a white coat color and long hair, just like their parents. They will look like white longhair kittens, with the genotype (w/w; l/l) for both traits. It is important to remember that being a responsible pet owner includes spaying or neutering your pets to prevent unwanted litters, and finding loving homes for any kittens or puppies that may be born.

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Answer:

12

Step-by-step explanation:

12x12= 144

To solve this problem, we first need to find the derivative of g(x), which is g'(x) = 2x - 3. We are given that f(x) = g'(x), so f(x) = 2x - 3.

Next, we can use the definite integral to evaluate ∫ 1 3 f(x) dx. This is the area under the curve of f(x) between x = 1 and x = 3.

To find this area, we can use the formula for the definite integral:

∫ 1 3 f(x) dx = [F(x)] from 1 to 3

where F(x) is the antiderivative of f(x). Since f(x) = 2x - 3, we can integrate this to get F(x) = x^2 - 3x.

Evaluating the integral at x = 3 and x = 1, we get:

[F(x)] from 1 to 3 = F(3) - F(1)

= (3^2 - 3(3)) - (1^2 - 3(1))

= 0

Therefore, the answer is (B) -2.
To solve the problem, first we need to find the derivative of g(x) which is f(x):

g(x) = x^2 - 3x + 4
g'(x) = f(x) = 2x - 3

Now we need to find the definite integral of f(x) from 1 to 3:

∫[1, 3] f(x) dx = ∫[1, 3] (2x - 3) dx

To find the integral, use the power rule for integration:

∫(2x - 3) dx = x^2 - 3x + C

Now, apply the limits of integration:

(x^2 - 3x) | [1, 3] = (3^2 - 3*3) - (1^2 - 3*1) = (9 - 9) - (1 - 3) = 0 + 2

So, the answer is (C) 2.

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The statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false. This statement is False. If f'(x) = g'(x) for 0 < x < 6, it means that the derivatives of both functions are equal on the interval (0, 6).

However, this does not necessarily mean that the functions themselves are equal on that interval.

In other words, there could be a constant difference between f(x) and g(x), which would not affect their derivatives.

To illustrate this, consider the functions f(x) = x^2 and g(x) = x^2 + 1. The derivative of both functions is 2x, which is equal for all values of x.

However, f(x) and g(x) are not equal on the interval (0, 6), as g(x) is always greater than f(x) by 1.

Therefore, the statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false.

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Answer:

3.50 × 12 = 42

Therefore, she spent 42 dollars.

Answer:

Opens upward and is wider.

Step-by-step explanation:

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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We draw two ovals, in the first are the first coordinates (inputs), in the second, there are the second coordinates of the points (outputs). Then we connect the inputs with the outputs.

The domain is the set of all first elements of the ordered pairs. Thus, the domain of this relation is:

The range is the set of all second elements of the ordered pairs. Thus, the range of this relation is:

A litter of pupples had 2 white pupples and 3 brown pupples. What percent of white pupples are in the litter? Round to the nearest whole number.?

답변:(C) 40%

Answer:

it takes him 0.7

Step-by-step explanation:

Answer

Step-by-step explanation:

Its A

HI um yeaaaa so do u still need help and um this is taylor megan is at school and aaahhhhh umm yea so................... bye bye

5555555999933333888822228448845657483921234567

Answer:

B

Step-by-step explanation:

To find the value of z such that the area to the right of z is 0.5, we can use the standard normal distribution table (also known as the z-table). The z-table provides the cumulative probability to the left of a given z-value.

Since the area to the right of z is 0.5, the area to the left of z is also 0.5. We need to find the z-value that corresponds to a cumulative probability of 0.5 (or 50%).

Referring to the z-table, we find that a cumulative probability of 0.5 corresponds to a z-value of 0. This means that the area to the left of 0 is 0.5, and therefore, the area to the right of 0 is also 0.5.

Thus, the value of z when the area to the right of z is 0.5 is 0.

Therefore, the correct option is b. 0.0000.

Answer:

19.0% (1dp)

Step-by-step explanation:

$625-$525=$100

$100/$525=4/21×100=19.0% (1dp)

Answer: Food surpluses led to population growth.

Step-by-step explanation:

Food surpluses led to population growth.

Answer:

There are 6 * 6 = 36 total outcomes from throwing 2 dice. Of those, there is only 1 that will give you a sum less than 3 (1 + 1) so the answer is 1 / 36.